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Finding the Fourth Proportional to 6,959.26, 9,590.90 and 4,942.76

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Solution

The fourth proportional to 6,959.26, 9,590.90 and 4,942.76 is: 6,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.26 : 9,590.90 = 4,942.76 : x
  2. Step 2: Convert to fraction form
    6,959.26/9,590.90 = 4,942.76/x
  3. Step 3: Cross multiply
    6,959.26x = 9,590.90 × 4,942.76
  4. Step 4: Simplify right side
    6,959.26x = 47,405,507.43
  5. Step 5: Solve for x
    x = 47,405,507.43/6,959.26
  6. Step 6: Final answer
    x = 6,811.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.